The Research of Orthogonal Symmetric Matrix-Valued Wavelets Packets with Multiscale and Applications

Qing Jiang Chen; Chuan Li Cai; Jian Tang Zhao

doi:10.4028/www.scientific.net/AMR.915-916.1300

Paper Titles

Kinematical Modeling for Terrain Following Algorithm of Vehicles Moving on the Ground
p.1277

Study on Energy-Saving Efficient Resource Scheduling Optimization Algorithm in Cloud Computing
p.1285

Study on the Prediction of Line Loss Rate Based on the Improved RBF Neural Network
p.1292

The Primitive Exponent of a Class of Special Nonnegative Matrix Pairs
p.1296

The Research of Orthogonal Symmetric Matrix-Valued Wavelets Packets with Multiscale and Applications
p.1300

The Triangle Network Based Precise Correction Method and its Algorithm
p.1304

A New Intrusion Detection Method Based on Rough Sets for Network Security
p.1311

An Robust Video Watermarking against Collusion Attacks
p.1315

Application of K-Means Algorithm with Person Coefficient in Colleges Physical Education
p.1320

HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 915-916The Research of Orthogonal Symmetric Matrix-Valued...

The Research of Orthogonal Symmetric Matrix-Valued Wavelets Packets with Multiscale and Applications

Abstract:

Material science is an interdisciplinary field applying the properties of matter to various areas of science and engineering. In this work, we introduce orthogonal matrix-valued wavelets with poly-scale, which are wavelets for vector fields, based on the notion of full rank subdivision operators. It is demonstrated that, like in the scalar and multiwavelet case, the existence of an orthogonal matrix-valued scaling function guarantees the existence of orthogonal matrix-valued wavelet functions. Secondly, we propose a construction algorim for compactly supported orthog onal two-directional matrix-valued wavelet packets. Lastly, A method for constructing a class of compactly supported orthogonal matrix-valued wavelets is presented by means of matrix theory.

You might also be interested in these eBooks

View Preview

Info:

Periodical:

Advanced Materials Research (Volumes 915-916)

Pages:

1300-1303

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.915-916.1300

Citation:

Cite this paper

Online since:

April 2014

Authors:

Qing Jiang Chen*, Chuan Li Cai, Jian Tang Zhao

Keywords:

Compact Support, Matrix-Valued Scaling Functions, Matrix-Valued Wavelets, Polyphase Matrix, Subdivision Operators, Wavelet Packets

Export:

RIS, BibTeX

Price:

Permissions CCC:

Request Permissions

Permissions PLS:

Request Permissions

Сopyright:

Citation:

* - Corresponding Author

References

[1] X. Xia, B W Suter．Vector-Valued wavelets and vector filter banks. IEEE Trans Signal Pro -cessing, 1996, 44(3): 508-518.

DOI: 10.1109/78.489024

Google Scholar

[2] S. Yang,Y. Li. Two-direction refinable functiongs and two- direction wavelets with dilation factor m. Applied Mathematics and Computation, 2007, 188 (2): 1908-(1920).

DOI: 10.1016/j.amc.2006.11.078

Google Scholar

[3] N. Zhang, X. Wu X. Lossless Compression of Color Mosaic Images. IEEE Trans Image processing, 2006, 15(16): 1379-1388.

DOI: 10.1109/tip.2005.871116

Google Scholar

[4] Q. Chen, A. Huo. The research of a class of biorthogonal compactly supported vector-valued wavelets. Chaos, Solitons & Fractals, 2009, 41(2): 951–961.

DOI: 10.1016/j.chaos.2008.04.025

Google Scholar

[5] C. A. Micchelli, T. Sauer. On vector subdivision , Math Z 1998; 229(3): 621-674.

DOI: 10.1007/pl00004676

Google Scholar

[6] S. Bacchelli, et al. Wavelets for multichannel signals. Adv Appl Math. 2002, 29(4): 581-598.

Google Scholar

[7] Q. Chen, Y. Zhao, H. Gao. Existence and characterization of orthogonal multiple vector- valued wavelets with three-scale. Chaos, Solitons & Fractals. 2009, 42(4): 2484-2493.

DOI: 10.1016/j.chaos.2009.03.114

Google Scholar